Viscoacoustic Full Wavefield Migration With Tomographic Q Estimation

Seismic wave propagation in the Earth's subsurface is influenced by anelastic attenuation, which causes energy loss and waveform distortion, degrading image resolution. This effect, quantified by the quality factor (), is particularly pronounced in settings such as carbon capture and storage and near‐surface studies, where fluids, gases or unconsolidated sediments are present. Conventional estimation methods – such as spectral ratio and centroid frequency shift – often rely on simplifying assumptions, have limitations in heterogeneous media and produce smeared results. We address these limitations by integrating attenuation compensation and estimation directly into the full wavefield migration framework. Our method embeds into a one‐way forward modelling operator and applies full‐waveform matching on residual data to estimate attenuation, compensating for it during migration. Implemented in the image domain within a wave‐equation tomography framework, it links model and perturbations for robust, localized estimation. Tests on synthetic and field data confirm that the approach accurately recovers both reflectivity and attenuation models, improving resolution and producing more geologically consistent images. Compared with conventional spectral‐based estimation methods, the proposed full‐waveform matching framework jointly estimates reflectivity and attenuation during migration while maintaining control over internal multiples.